If and , is equal…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

x = \sin^{-1} (3t - 4t^3)

and

y = \cos^{-1} \sqrt{(1-t^2)}

\frac{dy}{dx}

is equal to (a)

1/2

(b)

2/5

(c)

3/2

(d)

1/3

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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